Question

what is the value of t?

Explanation:

Step1: Find vertical opposite angle

The angle vertical to the 62° angle is also $62^\circ$.

Step2: Use straight angle sum

The three angles along the straight line add to $180^\circ$. Set up the equation:
$37^\circ + t + 62^\circ = 180^\circ$

Step3: Simplify and solve for t

First sum the known angles: $37+62=99$. Then rearrange:
$t = 180^\circ - 99^\circ$
$t = 81^\circ$

Answer:

$81^\circ$